Search Results - "Bilushchak, Yurii"
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Advanced Statistical Approach for the Mathematical Modeling of Transfer Processes in a Layer Based on Experimental Data at the Boundary
Published in Symmetry (Basel) (01-07-2024)“…In this work, a mathematical model of the transfer process in a layer under the condition of given experimental data on a part of the layer boundary is…”
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Journal Article -
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Mathematical Modelling of Diffusion Flows in Two-Phase Stratified Bodies with Randomly Disposed Layers of Stochastically Set Thickness
Published in Mathematics (Basel) (01-10-2022)“…The work is dedicated to mathematical modelling of random diffusion flows of admixture particles in a two-phase stratified strip with stochastic disposition of…”
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A Numerical Method for Computing Double Integrals with Variable Upper Limits
Published in Mathematics (Basel) (01-01-2022)“…We propose and justify a numerical method for computing the double integral with variable upper limits that leads to the variableness of the region of…”
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MATHEMATICAL MODELING OF RANDOM CONCENTRATION FIELD AND ITS SECOND MOMENTS IN SEMISPACE WITH ERLANGIAN DISTRIBUTIONS OF LAYERED INCLUSIONS
Published in T.A.S.K. quarterly (01-07-2016)“…The processes of admixture diffusion in a two-phase stratified semispace with random disposition of syblayers are studied by the approach where internal random…”
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MATRIX GREEN’S FUNCTION OF DOUBLE-DIFFUSIVITY PROBLEM AND ITS APPLICATIONS TO PROBLEMS WITH INNER POINT SOURCE
Published in T.A.S.K. quarterly (01-01-2019)“…The matrix Green’s function of the initial-boundary value problem of admixture double-diffusivity is defined. The initial-boundary value problem with a point…”
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Journal Article -
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The Model of Diffusion Processes in a Two-Phase Strip with Randomly Disposed Spherical Inclusions near the Mass Source on the Body Surface
Published in 2022 IEEE 3rd International Conference on System Analysis & Intelligent Computing (SAIC) (04-10-2022)“…In the work the mathematical model and method of system analysis for the qualitative and quantitative description of compound systems with random structure is…”
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Conference Proceeding -
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System Approach to Mathematical Description of Transport Processes with Chemical Reaction in Multiphase Multicomponent Body
Published in 2020 IEEE 2nd International Conference on System Analysis & Intelligent Computing (SAIC) (05-10-2020)“…In the work the system approach to the description of complex and compound systems is proposed. It is based on the synthesis of the classical mathematical…”
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Conference Proceeding